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O-LevelAdditional MathematicsSimultaneous equations4037/12 · May/June 2015 · Q35 Marks

Find the inverse of the matrix (4 2 / 5 3) and hence solve the simultaneous equations 4x+2y-8 = 0, 5x + 3y - 9 = 0.

(a)Find the inverse of the matrix (4 2 / 5 3) and hence solve the simultaneous equations 4x+2y-8 = 0, 5x + 3y - 9 = 0.[5]

Mark scheme

Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.

B1 1/2 multiplied by a matrix
B1 for matrix (3 -2 / -5 4)
M1 attempt to use the inverse matrix, must be pre-multiplication
A1, A1 x = 3, y = -2

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About this question

Topic: Simultaneous equations, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source: O-Level Additional Mathematics, May/June 2015 Paper 1 Variant 2, question 3.

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